|hmmmm..........odd, usually when you get a BSOD the error message is on the screen. If not, that's going to make searching it difficult isn't it.......lol|
Since it seems software is the cause of the problem (ie: vuze or bitcomet) I would uninstall both. Then I would reboot, run a spyware cleaner or two and your antivirus as well. I would then defrag my system and would install only one of the two applications. Then try it.
If it BSOD's, uninstall it, reboot and try the second app. If it BSOD's too then you're going to have to find different software to use or try to figure out what in your Operating System (OS) is conflicting with these app's and it would be VERY hard for use to help you do that if that's the case.
Lets say you install one app and test and it works fine, then try installing the second and test it. If it works fine, test the first one again. If both work fine, then it was just a bad install (it happens). If one or both works alone, but not in conjunction with the other, then it's likely they're conflicting with each otehr and you just won't be able to install both at the same time.